Results 51 to 60 of about 5,561 (210)

EXPONENTIAL STABILITY CONTROL FOR NETWORKED SYSTEMS WITH INTERVAL DISTRIBUTION TIME DELAYS [PDF]

Acta Informatica Malaysia, 2018
To study the problem of exponential stability control for a class of networked control systems with interval distribution time delays, a new approach is given to model the networked control systems with the stochastic time delays which is assumed to be
Hejun, Fushun
doaj   +1 more source

Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function [PDF]

International Applied Mechanics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, J.F., Wang, X.L.
openaire   +3 more sources

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Stability Analysis of Linear Time-Varying Delay Systems via a Novel Augmented Variable Approach

Mathematics
This paper investigates the stability issues of time-varying delay systems. Firstly, a novel augmented Lyapunov functional is constructed for a class of bounded time-varying delays by introducing new double integral terms.
Wenqi Liao, Hongbing Zeng, Huichao Lin
doaj   +1 more source

Load Frequency Stability Analysis of Time-Delayed Multi-Area Power Systems With EV Aggregators Based on Bessel-Legendre Inequality and Model Reconstruction Technique

IEEE Access, 2020
This paper investigates the stability of time-delayed load frequency control (LFC) systems with electric vehicles (EV) aggregators based on Lyapunov theory and linear matrix inequality (LMI) technology.
Sha-Jun Zhou, Hong-Bing Zeng, Hui-Qin Xiao   +2 more
doaj   +1 more source

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley   +1 more source

On the Lyapunov Matrix for Integral Delay Systems with a Class of General Kernel

IFAC-PapersOnLine, 2019
Abstract We study integral delay systems with exponential kernel. The computation of the Lyapunov matrix is shown to reduce to an auxiliary system of differential equations with boundary conditions of mixed type. We prove that the solution of the auxiliary system exist and is unique if the integral delay system satisfies the Lyapunov condition.
Reynaldo Ortiz, Sabine Mondié
openaire   +1 more source

Stepwise structure of Lyapunov spectra for many-particle systems using a random matrix dynamics [PDF]

Physical Review E, 2002
The structure of Lyapunov spectra for many particle systems with a random interaction between the particles is discussed. The dynamics of the tangent space is expressed as a master equation, which leads to a formula that connects the positive Lyapunov exponents and the time correlations of the particle interaction matrix.
Taniguchi, Tooru, Morriss, Gary P.
openaire   +3 more sources

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source

Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays

Discrete Dynamics in Nature and Society, 2014
The passivity for discrete-time stochastic T-S fuzzy systems with time-varying delays is investigated. By constructing appropriate Lyapunov-Krasovskii functionals and employing stochastic analysis method and matrix inequality technique, a delay-dependent
Ting Lei, Qiankun Song, Zhenjiang Zhao
doaj   +1 more source